Adaptive Iterative Splitting Methods for Convection-Diffusion-Reaction Equations

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Adaptive Discontinuous Galerkin Methods for Nonlinear Diffusion-Convection-Reaction Equations

In this work, we apply the adaptive discontinuous Galerkin (DGAFEM) method to the convection dominated non-linear, quasi-stationary diffusion convection reaction equations. We propose an efficient preconditioner using a matrix reordering scheme to solve the sparse linear systems iteratively arising from the discretized non-linear equations. Numerical examples demonstrate effectiveness of the DG...

متن کامل

On Splitting-Based Numerical Methods for Convection-Diffusion Equations

Convection-diffusion equations model a variety of physical phenomena. Computing solutions of these equations is an important and challenging problem, especially in the convection dominated case, in which viscous layers are so thin that one is forced to use underresolved methods that may be unstable. If an insufficient amount of physical diffusion is compensated by an excessive numerical viscosi...

متن کامل

Convergence Criteria for Iterative Methods in Solving Convection-diffusion Equations on Adaptive Meshes

In this work, sparse linear systems obtained from the streamline diffusion finite element discretization of the convection-diffusion equations are solved by a multigrid method and the generalized minimal residule method. Adaptive mesh refinement process is considered as an integral part of the solution process. We propose some stopping criteria for iterative solvers to ensure the iterative erro...

متن کامل

Multilevel Adaptive Particle Methods for Convection-Diffusion Equations

We present novel multilevel particle methods with extended adaptivity in areas where increased resolution is required. We present two complementary approaches as inspired by r-adaptivity and adaptive mesh refinement (AMR) concepts introduced in finite difference and finite element schemes. For the r-adaptivity a new class of particle based mapping functions is introduced while the particle-AMR ...

متن کامل

Adaptive Reduced Basis Methods for Nonlinear Convection–Diffusion Equations

Many applications from science and engineering are based on parametrized evolution equations and depend on time-consuming parameter studies or need to ensure critical constraints on the simulation time. For both settings, model order reduction by the reduced basis methods is a suitable means to reduce computational time. In this proceedings, we show the applicability of the reduced basis framew...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Mathematics

سال: 2020

ISSN: 2227-7390

DOI: 10.3390/math8030302